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Finding the Third Proportional to 188,750 and 407,020

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Solution

The third proportional to 188,750 and 407,020 is: 877,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,750 : 407,020 = 407,020 : x
  2. Step 2: Convert to fraction form
    188,750/407,020 = 407,020/x
  3. Step 3: Cross multiply
    188,750x = 407,020 × 407,020
  4. Step 4: Simplify right side
    188,750x = 165,665,280,400
  5. Step 5: Solve for x
    x = 165,665,280,400/188,750
  6. Step 6: Final answer
    x = 877,696.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.